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Finding the Fourth Proportional to 586.87, 809.82 and 324.85

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Solution

The fourth proportional to 586.87, 809.82 and 324.85 is: 448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.87 : 809.82 = 324.85 : x
  2. Step 2: Convert to fraction form
    586.87/809.82 = 324.85/x
  3. Step 3: Cross multiply
    586.87x = 809.82 × 324.85
  4. Step 4: Simplify right side
    586.87x = 263,070.03
  5. Step 5: Solve for x
    x = 263,070.03/586.87
  6. Step 6: Final answer
    x = 448.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.